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Lecture
Set Identities: Analogues and Proofs
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Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Sets, Functions and Relations: Set Identities
Covers set identities and different approaches to prove them, including set builder notation and membership tables.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Propositional Logic: Translations and Equivalences
Covers translating natural language to propositional logic and proving tautologies.
Proofs: Logical Equivalence and Inference Rules
Covers the concept of logical equivalence in proofs and inference rules.
Logical Equivalences: Constructing, Proving, and Applying
Covers the process of showing logical equivalences through examples and introduces De Morgan's Laws.
Sets and Functions
Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.
Propositional Logic: Summary of Week 1
Introduces propositional logic, logical connectives, implications, and equivalences, with examples and facts about tautology and contradiction.
Propositional Logic: Basics and Equivalences
Covers the basics of propositional logic and explores logical equivalences and proof techniques.
Introduction & Propositional Logic
Covers the basics of propositional logic, logical connectives, truth tables, and compound propositions.